A forestry company plans to log a certain area of fir trees. The
average number of board feet obtained per tree is 50-0.5x where x is
the number of trees per acre with
. What density of trees
should be maintained to maximize the number of board feet per a

Abnormal Psychology
Psychology 203-01
Midterm Exam
The exam is worth 100 points with each question worth 10 points. Please be thorough in your response,
using complete sentences and in-text citations when appropriate. If you use in-text citations, then yo

Use differentials to approximate
Let
.
. We can approximate f using the formula:
Since we can easily calculate f(9), let x = 9 and
that
. Therefore,
Find the inverse of
.
To find the inverse, solve the following equation for y:
. Notice
Using the properti

Compute the derivative of
from the definition.
By definition, the derivative of a function f at a point x is given by the limit
.
Apply this definition to the given function:
.
Find the equation of the tangent line to
at
.
To simplify notation, write
. Th